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Finding the Third Proportional to 375,812 and 877,056

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Solution

The third proportional to 375,812 and 877,056 is: 2,046,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,812 : 877,056 = 877,056 : x
  2. Step 2: Convert to fraction form
    375,812/877,056 = 877,056/x
  3. Step 3: Cross multiply
    375,812x = 877,056 × 877,056
  4. Step 4: Simplify right side
    375,812x = 769,227,227,136
  5. Step 5: Solve for x
    x = 769,227,227,136/375,812
  6. Step 6: Final answer
    x = 2,046,840.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.